2020/12/22 by Junior, Valdivino Vargas, Fábio P. Machado, Machado, Fábio Prates +2
Business, Management and Accounting · Decision Sciences · Mathematics · #60J80 #60J85 #92D25 #Advanced Queuing Theory Analysis #FOS: Mathematics #Probability (math.PR) #Probability and Risk Models #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2012.12027
openalex publication_date 2020/12/22 · openalex created_date 2021/01/05 · openalex updated_date 2026/07/28
We consider stochastic growth models to represent population dynamics subject to geometric catastrophes. We analyze different dispersion schemes after catastrophes, to study how these schemes impact the population viability and comparing them with the scheme where there is no dispersion. In the schemes with dispersion, we consider that each colony, after the catastrophe event, has d new positions to place its survivors. We find out that when d = 2 no type of dispersion considered improves the chance of survival, at best it matches the scheme where there is no dispersion. When d = 3, based on the survival probability, we conclude that dispersion may be an advantage or not, depending on its type, the rate of colony growth and the probability that an individual will survive when exposed to a catastrophe.